Another vote for checking out shelter cats. A surprising number of them are really good animals that wound up in shelters because of stuff to do with their owners rather than the cat itself.
Alternately you can look around for anyone who does feral kitten rehab, socialised feral kittens are generally used to a lot of human contact, what with it being the whole point of rehabilitating them. Used to have a feral kitten (Oscar, he was blind) my sister found by some bins when we were kids, he grew up to be super affectionate and loved being near people to the point of sleeping on people's shoulders.
Or just keep an eye out for anyone who's moggy is having kittens in the area, it's fairly normal in most places for people to want to give away kittens that came from them not having a fixed animal. Especially around the time the mommy cat is getting sick of them, because they become a lot more work about then. Make sure the kitten is weaned fully in that case though, I used to have a cat (Bea) who was serparated from her mum too early and she never really adjusted properly. It can lead to things like suckling on people's earlobes which is honestly pretty painful.
That said, some predigree cat breeds are a good choice to have around kids. Ragdolls, Maine Coons, Bombays and a few others are generally more tolerant of or even actively seek out human affection in ways that some cats might not, but there is also something to be said for cats that will make it clear when they want some time to themselves when it comes to children. You don't want a cat that will outright maul people when it gets annoyed, but a good warning thwack or scratch isn't a bad thing now and then.
Or get her a frog, one of the big ones, like an African Bullfrog. Huge fat things, built like a tank with the appetite of a dinosaur. Insist it's a cat, call it Paws or Mittens or something, act confused when she tries to tell you it's a frog. Downside; she'll probably think you've gone mad. Upside; you'll have a frog.